Yoichiro Mori Department of Mahtematics, University of British Columbia Wednesday Oct. 17, 2006 3:05pm in LCB 215 "Convergence Proof of a Stokes Flow Immersed Boundary Method" Abstract: The immersed boundary method is a popular method for computations in fluid-structure interaction problems. It is charactrized by the use of an Eulerian grid for the fluid domain and a Lagrangian grid for the elastic structure, and the use of regularized dirac delta functions to establish communication between the two grids. In this talk, I will outline a convergence proof for a stationary Stokes flow immersed boundary problem. Computational results are presented to demonstrate that the error estimates obtained are close to optimal. I will end with a discussion of open problems. |